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Finding the Fourth Proportional to 122,331.84, 183,488.85 and 54,884.76

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Solution

The fourth proportional to 122,331.84, 183,488.85 and 54,884.76 is: 82,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,331.84 : 183,488.85 = 54,884.76 : x
  2. Step 2: Convert to fraction form
    122,331.84/183,488.85 = 54,884.76/x
  3. Step 3: Cross multiply
    122,331.84x = 183,488.85 × 54,884.76
  4. Step 4: Simplify right side
    122,331.84x = 10,070,741,494.93
  5. Step 5: Solve for x
    x = 10,070,741,494.93/122,331.84
  6. Step 6: Final answer
    x = 82,323.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.